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ngraph.sparse-collection

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Subset of the University of Florida sparse matrix collection

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# LPnetlib/lpi_qual UF Sparse Matrix Collection, Tim Davis http://www.cise.ufl.edu/research/sparse/matrices/LPnetlib/lpi_qual [Netlib LP problem qual: minimize c'*x, where Ax=b, lo<=x<=hi] id: 727 date: 1993 author: T. Baker ed: J. Chinneck fields: title name A b id aux kind date author ed notes aux: c lo hi z0 kind: linear programming problem notes: An infeasible Netlib LP problem, in lp/infeas. For more information send email to netlib@ornl.gov with the message: send index from lp send readme from lp/infeas The lp/infeas directory contains infeasible linear programming test problems collected by John W. Chinneck, Carleton Univ, Ontario Canada. The following are relevant excerpts from lp/infeas/readme (by John W. Chinneck): In the following, IIS stands for Irreducible Infeasible Subsystem, a set of constraints which is itself infeasible, but becomes feasible when any one member is removed. Isolating an IIS from within the larger set of constraints defining the model is one analysis approach. PROBLEM DESCRIPTION ------------------- CHEMCOM, QUAL, REFINERY, REACTOR, VOL1: medium size problems derived from a petrochemical plant model. Doctored to generate infeasibility due to inability to meet volume or quality restrictions. With the exception of REACTOR, these are highly volatile problems, yielding IISs of varying sizes when different IIS isolation algorithms are applied. See Chinneck [1993] for further discussion. Contributor: Tom Baker, Chesapeake Decision Sciences. Name Rows Cols Nonzeros Bounds Notes qual 324 464 1714 B FX REFERENCES ---------- J.W. Chinneck (1993). "Finding the Most Useful Subset of Constraints for Analysis in an Infeasible Linear Program", technical report SCE-93-07, Systems and Computer Engineering, Carleton University, Ottawa, Canada. ![LPnetlib/lpi_qual](http://yifanhu.net/GALLERY/GRAPHS/GIF_SMALL/LPnetlib@lpi_qual.gif)